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A computer-assisted investigation of a 2-D array of Chua's circuits

机译:蔡氏电路二维阵列的计算机辅助研究

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This paper presents simulation results on a 2-D array of coupled Chua's circuits called an f(x)-x/spl dot/ coupled chaotic CNN in order to distinguish it from other recently proposed chaotic CNN architectures. Each isolated cell with unity self-feedback in the network is a Chua's circuit and is connected only to its nearest neighbors defined by a metric and a neighborhood size. The network is designed with a 2-D torus like connection topology having cyclic boundary conditions that play an important role in complete phase synchronization. It is observed in our computer simulations that i) depending on the choice of the intracell parameters and the connection weights, the cells of the network appear to be operating in a double-scroll Chua's attractor, in spiral Chua's attractors, in stable equilibria, in a period-1, a period-2, a large limit-cycle, or in a large chaotic regime, ii) complete phase synchronization in the network with all cells operating in the double scroll regime ran be obtained by a suitable choice of the intracell parameters and the feedback connection weights, iii) there is a set of the intracell parameters and connection weights resulting in a chaotic regime such that each cell depending on its constant external input falls into one of the three attractors; namely, the double-scroll, P/sup +/ spiral, or P/sup -/ spiral Chua's attractor. As a new phenomenon, a close relation between phase synchronization settling-time and input pattern is observed that offers new potentials of Chua's circuit arrays for pattern recognition applications.
机译:本文介绍了耦合chua电路的二维阵列f(x)-x / spl点/耦合混沌CNN的仿真结果,以便将其与其他最近提出的混沌CNN架构区分开。网络中每个具有统一自反馈的隔离小区都是蔡氏电路,并且仅连接到由度量和邻域大小定义的最近邻居。该网络的设计采用了类似于2-D环面的连接拓扑结构,该拓扑结构具有在完全相位同步中起重要作用的循环边界条件。在我们的计算机模拟中观察到:i)根据单元内参数的选择和连接权重,网络的单元似乎在双卷Chua吸引子,螺旋Chua吸引子,稳定平衡,周期1,周期2,较大的极限周期或较大的混沌状态,ii)通过适当选择小区内来获得网络中具有双滚动状态下工作的所有小区的完全相位同步参数和反馈连接权重,iii)一组内部参数和连接权重导致混乱状态,从而每个单元根据其恒定的外部输入落入三个吸引子之一;即双滚动,P / sup + /螺旋或P / sup-/螺旋蔡氏吸引子。作为一种新现象,观察到相位同步建立时间与输入模式之间的紧密关系,这为Chua的电路阵列在模式识别应用中提供了新的潜力。

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